An important goal in theoretical biology and population dynamics is to derive macroscopic equations from microscopic models [1]}, [2]}. For many stochastic interacting particle systems involving birth, mutation, and death, these connections have been made rigorous. One such class of particle systems consists of spatially-structured models such as the Bolker-Pacala and Dieckmann-Law (BPDL) model [3]}, [4]}. The dynamics of these particle systems can be described by jump processes on the space of finite positive measures and can be used to derive macroscopic models.
